Asymptotic distribution of functions on compact homogeneous spaces
type: Item
instance of: scholarly article
title: Asymptotic distribution of functions on compact homogeneous spaces
zbMATH Open document ID: 0668.10054
DOI: 10.1007/BF01766142
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1988-01-01T00:00:00Z
review text: The authors study distribution properties of continuous functions on compact connected homogeneous Riemannian manifolds \(X\) (generalizing known results in the special case \(X=\mathbb{R}^n/\mathbb{Z}^n)\). It is proved that almost all functions are uniformly distributed and almost no functions are well distributed. Similar results are obtained for sequences. The authors also announce a law of iterated logarithm for the discrepancy of functions on compact connected Riemannian manifolds [using results of \textit{W. Philipp}, Mem. Am. Math. Soc. 114 (1971; Zbl 0224.10052)].
reviewed by: Harald Rindler
Mathematics Subject Classification ID: 11K06
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 4093591
zbMATH Keywords: uniform distribution
zbMATH Keywords: well distribution
zbMATH Keywords: continuous functions
zbMATH Keywords: compact connected homogeneous Riemannian manifolds
zbMATH Keywords: law of iterated logarithm
zbMATH Keywords: discrepancy of functions
zbMATH Keywords: compact connected Riemannian manifolds
author: Martin Blümlinger
author: Michael Drmota
author: Robert F. Tichy
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4093591